Topological Laws of the Rayleigh Wave Scattering on a Statistical Inhomogeneity of Isotropic Solid in the Rayleigh Limit

Topological laws of the Rayleigh wave scattering on a statistical inhomogeneity of an isotropic solid are obtained theoretically in the Rayleigh limit of scattering. They are defined completely by the structure of the inhomogeneity and include the Rayleigh law of scattering as a particular case. Violation by them of the Rayleigh law in cases of a more general topology of inhomogeneity, than the Rayleigh one, enables first to construct theoretically arbitrary form of scattering spectrum up to its oscillations and strong angular anisotropy in the Rayleigh limit of scattering.